Cook the rapini in boiling salted water for 2 to 3 minutes. Drain.
In a saucepan, heat 4 tablespoons of extra-virgin olive oil. Add the garlic and chili peppers, and cook until the garlic is golden brown. Add the rapini to the saucepan, and saute for a few minutes. Season with salt to taste.
In another saucepan, heat 1 tablespoon of olive oil, and add the sausages. Cook the sausage for a few minutes, turning frequently, before piercing with a knife in order to release some of the fat. If the sausages are sticking to the pan, add a few tablespoons of water instead of adding more oil. Continue cooking until the sausages are golden brown and fully cooked.
Add the cooked sausages to the rapini, and cook together for a few minutes. Transfer the mixture to a warm plate and serve hot.